Mathematical Modeling for the Solution of Equations and Systems of Equations With Applications - Hardcover
Synopsis
These books are intended for undergraduate, graduate researchers and practitioners in computational sciences, and as reference books for an advanced computational methods course. We have included new results for iterative procedures in abstract spaces general enough for handling inverse problems in various situations related to real life problems through mathematical modeling. These books contain a plethora of updated bibliography and provide comparison between various investigations made in recent years in the field of computational mathematics in the wide sense. Iterative processes are the tools used to generate sequences approximating solutions of equations describing the real life problems stated above and others originating from biosciences, engineering, mathematical economics, mathematical biology, mathematical chemistry, mathematical physics medicine, mathematical programming, and other disciplines. These books also provide, recent advancements on the study of iterative procedures, and can be used as a source from which one can obtain the proper method to use in order to solve a problem. The books require a fundamental background in mathematical statistics, linear algebra and numerical analysis. It may be used as a self-study reference or as a supplementary text for an advanced course in biosciences, engineering and computational sciences.
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Mathematical Modeling for the Solution of Equations and Systems of Equations With Applications
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Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume IV
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Nova Science Publishers Inc, 2020
ISBN 10: 1536174742
ISBN 13: 9781536174748
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Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume IV
Published by
Nova Science Publishers Inc, US, 2020
ISBN 10: 1536174742
ISBN 13: 9781536174748
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Hardback. Condition: New. The exponential growth of technology forces all disciplines to adjust accordingly, so they can meet the demands of a very dynamic world that heavily depends upon it. Therefore, mathematics cannot be an exception. In fact, mathematics should be the first to adjust and in fact it is. In this volume, which is a continuation of the previous three under the same title, we present state-of-the-art iterative methods for solving equations related to concrete problems from diverse areas such as applied mathematics, mathematical: biology, chemistry, economics, physics and also engineering to mention a few. Most of these methods are new and a few are old but still very popular. One major problem with iterative methods is that the convergence domain is small in general. We have introduced a technique that finds a smaller set than before containing the iterates leading to tighter Lipschitz functions than before. This way and under the same computational effort, we derive: weaker sufficient convergence criteria (leading to a wider choice of initial points); tighter error bounds on the distances involved (i.e., fewer iterates are needed to obtain a desired predetermined accuracy), and a more precise information on the location of the solution. These advantages are considered major achievements in computational disciplines. The volume requires knowledge of linear algebra, numerical functional analysis and familiarity with contemporary computing programing. It can be used by researchers, practitioners, senior undergraduate and graduate students as a source material or as a required textbook in the classroom. Seller Inventory # LU-9781536174748
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Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume IV
Published by
Nova Science Publishers, Inc, 2020
ISBN 10: 1536174742
ISBN 13: 9781536174748
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Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume IV
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ISBN 13: 9781536174748
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Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume IV
Published by
Nova Science Publishers Inc, US, 2020
ISBN 10: 1536174742
ISBN 13: 9781536174748
New
Hardcover
Seller: Rarewaves.com UK, London, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. The exponential growth of technology forces all disciplines to adjust accordingly, so they can meet the demands of a very dynamic world that heavily depends upon it. Therefore, mathematics cannot be an exception. In fact, mathematics should be the first to adjust and in fact it is. In this volume, which is a continuation of the previous three under the same title, we present state-of-the-art iterative methods for solving equations related to concrete problems from diverse areas such as applied mathematics, mathematical: biology, chemistry, economics, physics and also engineering to mention a few. Most of these methods are new and a few are old but still very popular. One major problem with iterative methods is that the convergence domain is small in general. We have introduced a technique that finds a smaller set than before containing the iterates leading to tighter Lipschitz functions than before. This way and under the same computational effort, we derive: weaker sufficient convergence criteria (leading to a wider choice of initial points); tighter error bounds on the distances involved (i.e., fewer iterates are needed to obtain a desired predetermined accuracy), and a more precise information on the location of the solution. These advantages are considered major achievements in computational disciplines. The volume requires knowledge of linear algebra, numerical functional analysis and familiarity with contemporary computing programing. It can be used by researchers, practitioners, senior undergraduate and graduate students as a source material or as a required textbook in the classroom. Seller Inventory # LU-9781536174748
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